Digital Sub-millimeter Bubble-Jets
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916572062285824 |
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| author | Ruan, B. J. Wang, Z. L. |
| author_facet | Ruan, B. J. Wang, Z. L. |
| contents | We create digital sub-millimeter bubble-jet emitting in gas-liquid co-flows at tapered chip zone for moderate $Re \sim [20, 120]$. Self-similarity features are revealed at the tapered area and giving birth to a local model. Local self-scaling characteristic quantities, $W_{\text{local}}$ and $L_{\text{cone}}$, are introduced to scale energies and progresses at onsets of bubble-jets, which gives highly universal phase diagram and also scaling law of jet velocity. The phase diagram draws critical bubble-jetting line at $We_d\sim Ca_c^{-5.7}$ and jet-dropping line at $We_d\sim Ca_c^{-4.2}$, as well as orthogonally overlaping Taylor bubble area from annular flow pattern. And the jetting velocity expresses as $u_{\text{jet}}\sim [ρ_c^2σ(Q_c + Q_d)^2]/(μ_c^3 W_{\text{local}}^{1.6}H^{0.4})$, which clarifies the compound mechanisms for bubble-jet emitting by combined competing of interfacial tension, inertia, viscosity, and the local tapered geometries. These universalities confirm reciprocally similarities of the bubble-jet emitting processes on behaviors and flow structures at the local tapered zone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10948 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Digital Sub-millimeter Bubble-Jets Ruan, B. J. Wang, Z. L. Fluid Dynamics We create digital sub-millimeter bubble-jet emitting in gas-liquid co-flows at tapered chip zone for moderate $Re \sim [20, 120]$. Self-similarity features are revealed at the tapered area and giving birth to a local model. Local self-scaling characteristic quantities, $W_{\text{local}}$ and $L_{\text{cone}}$, are introduced to scale energies and progresses at onsets of bubble-jets, which gives highly universal phase diagram and also scaling law of jet velocity. The phase diagram draws critical bubble-jetting line at $We_d\sim Ca_c^{-5.7}$ and jet-dropping line at $We_d\sim Ca_c^{-4.2}$, as well as orthogonally overlaping Taylor bubble area from annular flow pattern. And the jetting velocity expresses as $u_{\text{jet}}\sim [ρ_c^2σ(Q_c + Q_d)^2]/(μ_c^3 W_{\text{local}}^{1.6}H^{0.4})$, which clarifies the compound mechanisms for bubble-jet emitting by combined competing of interfacial tension, inertia, viscosity, and the local tapered geometries. These universalities confirm reciprocally similarities of the bubble-jet emitting processes on behaviors and flow structures at the local tapered zone. |
| title | Digital Sub-millimeter Bubble-Jets |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2501.10948 |